What is the Least Common Multiple of 99246 and 99251?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 99246 and 99251 is 9850264746.
LCM(99246,99251) = 9850264746
Least Common Multiple of 99246 and 99251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99246 and 99251, than apply into the LCM equation.
GCF(99246,99251) = 1
LCM(99246,99251) = ( 99246 × 99251) / 1
LCM(99246,99251) = 9850264746 / 1
LCM(99246,99251) = 9850264746
Least Common Multiple (LCM) of 99246 and 99251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99246 and 99251. First we will calculate the prime factors of 99246 and 99251.
Prime Factorization of 99246
Prime factors of 99246 are 2, 3, 7, 17, 139. Prime factorization of 99246 in exponential form is:
99246 = 21 × 31 × 71 × 171 × 1391
Prime Factorization of 99251
Prime factors of 99251 are 99251. Prime factorization of 99251 in exponential form is:
99251 = 992511
Now multiplying the highest exponent prime factors to calculate the LCM of 99246 and 99251.
LCM(99246,99251) = 21 × 31 × 71 × 171 × 1391 × 992511
LCM(99246,99251) = 9850264746
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